Chapter 4: Stoichiometry
For Gas Phase Flow Systems:
Combining the compressibility factor equation of state with Z = Z0 with
\( C_T = \frac{P}{ZRT} \),
\( C_{T0} = \frac{P_0}{Z_0 RT_0} \),
\( F_T = C_T V \),
\( F_{T0} = C_{T0} V_0 \),
We obtain:
\( \upsilon = \upsilon_0 \left( \frac{F_T}{F_{T0}} \right) \left( \frac{T}{T_0} \right) \left( \frac{P_0}{P} \right) \)
The total molar flowrate is:
\( F_T = F_{T0} + F_{A0} \delta X \)
Substituting for FT gives:
\( \upsilon = \upsilon_0 \left( \frac{F_{T0} + F_{A0} \delta X}{F_{T0}} \right) \frac{T}{T_0} \frac{P_0}{P} \)
\( \upsilon = \upsilon_0 \left( 1 + \frac{F_{A0}}{F_{T0}} \delta X \right) \frac{T}{T_0} \frac{P_0}{P} \)
\( \upsilon = \upsilon_0 \left( 1 + y_{A0} \delta X \right) \frac{T}{T_0} \frac{P_0}{P} \)
\( \upsilon = \upsilon_0 (1 + \epsilon X) \frac{T}{T_0} \frac{P_0}{P} \)
\(\epsilon = y_{A0} \delta\)
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